What is the Greatest Common Factor of 21904 and 21911?

Greatest common factor (GCF) of 21904 and 21911 is 1.

GCF(21904,21911) = 1

We will now calculate the prime factors of 21904 and 21911, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21904 and 21911.

How to find the GCF of 21904 and 21911?

We will first find the prime factorization of 21904 and 21911. After we will calculate the factors of 21904 and 21911 and find the biggest common factor number .

Step-1: Prime Factorization of 21904

Prime factors of 21904 are 2, 37. Prime factorization of 21904 in exponential form is:

21904 = 2⁴ × 37²

Step-2: Prime Factorization of 21911

Prime factors of 21911 are 21911. Prime factorization of 21911 in exponential form is:

21911 = 21911¹

Step-3: Factors of 21904

List of positive integer factors of 21904 that divides 21904 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592, 1369, 2738, 5476, 10952

Step-4: Factors of 21911

List of positive integer factors of 21911 that divides 21904 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21904 and 21911. The biggest common factor number is the GCF number.
So the greatest common factor 21904 and 21911 is 1.

Also check out the Least Common Multiple of 21904 and 21911